Calculating average value of function over interval | AP Calculus AB | Khan Academy

Here we find the average value of x^2+1 on the interval between 0 and 3.

AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago.

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[futsurepolaris]

The people who make these and put them online are angels.

[eamonnsiocain]

You hope I find this interesting?
This is marvelous!
I teach Maths. This presentation is concise and exact. I'm showing it to my students when we reconvene after the Spring Break.

[brysontownsend]

So just take the integral and divide by the length of the integral. Cake.

[anonymoustraveller]

area under y=average value is equal to area under curve so we find area under curve by integration then we put it into the equation, as simole as that.

[keerthic]

Using this technique can I find average of a step function With large interval?

[adalaza]

Blew this on one of my exams. Thanks for reminding me how to do it.

[neerjakoul]

Sum of all real numbers between 1 and 2 can be evaluated by just calculating the area under the curve of graph of y = x between 1 and 2. Is that really right???

[ethansu]

Where does the 1 cone from? Is it area? How does he know? Help plz

[iloveramennoodle]

Is one always above the b-a, in the beginning of the equation?

[ysiadmarie]

Average velocity and average value is the same thing ?

[TrenMonster]

TF is an anti derivative LMFAO I'm screwed tomorrow

[MastaChief]

ah so you divide by the end point thought so :(

[yaluman.]

if u think ur prom is tomorrow {promised tomorrow]